Presentation on theme: "2-3 Slope Slope indicates the steepness of a line."— Presentation transcript:
12-3 Slope Slope indicates the steepness of a line. is “the change in y over the change in x” (vertical over horizontal).is the ‘m’ in y = mx + b.
2Finding the Slope of a Line m =mWe use the first equation when given a graph, the second when given a table, and the third when given two points.
3Slope If a line rises from left to right (uphill), xyIf a line rises fromleft to right (uphill),it has a positive slope.If a line falls fromleft to right (downhill),it has a negative slope.xy
4Slope If a line is vertical, it has an undefined slope. If a line is horizontal it hasa slope equal to 0.xyxy
5Find the Slope To find the slope of this line we will use rise/run. Pick either point.We find the rise bycounting up (+) or down (-).Rise is 3 up from the bottom or -3 down from the top point.yx
6Find the Slope To find the run, we count right (+) or left (-). If you started from thetop point, your run will be left-2, if you started at the bottompoint, your run will be right 2.xy
7Find the Slope So if you started with the top point, your xySo if you started withthe top point, yourslope would be -3/-2.If you started with the bottompoint, your slope would be 3/2.Are these the same? Yes!! Theslope of the line is 3/2.